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Finding the Fourth Proportional to 9,444.70, 14,171.10 and 4,827.70

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Solution

The fourth proportional to 9,444.70, 14,171.10 and 4,827.70 is: 7,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.70 : 14,171.10 = 4,827.70 : x
  2. Step 2: Convert to fraction form
    9,444.70/14,171.10 = 4,827.70/x
  3. Step 3: Cross multiply
    9,444.70x = 14,171.10 × 4,827.70
  4. Step 4: Simplify right side
    9,444.70x = 68,413,819.47
  5. Step 5: Solve for x
    x = 68,413,819.47/9,444.70
  6. Step 6: Final answer
    x = 7,243.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.